It takes you 13.5 minutes to run 8 full laps around a 400m track. Find your average speed and average velocity for the run, both in m/s.
Average speed= total distance /time taken= = 3200/13.5•60 =3.95 m/s
Average velocity = total displacement/time taken = 0.
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0, velocity around a lap is always zero because velocity is displacement over time. Displacement in this case is 0, therefore 0/time = 0
To find the average speed, you need to divide the total distance traveled by the total time taken. In this case, the total distance is the number of laps around the track (8 laps) multiplied by the length of the track (400m per lap). Therefore, the total distance is 8 laps * 400m/lap = 3200m.
The total time taken is given as 13.5 minutes. However, it is necessary to convert this time to seconds to be consistent with the unit of meters since speed is measured in meters per second. There are 60 seconds in one minute, so the total time in seconds is 13.5 minutes * 60 seconds/minute = 810 seconds.
Therefore, the average speed is calculated by dividing the total distance by the total time: average speed = total distance / total time = 3200m / 810s = 3.95 m/s (rounded to two decimal places).
Now, let's calculate the average velocity. Velocity is a vector quantity, which means it includes both magnitude and direction. The average velocity is given by the displacement divided by the total time.
Since the runner starts and finishes at the same position (the starting point), the displacement is zero. As a result, the average velocity is also zero.